blombardi@x102c.ess.harris.com (Bob Lombardi 44139) (01/12/91)
Greetings, Now that I've decided to buy Borland's Turbo Pascal Numerical Methods Toolbox, I find that they have discontinued the product. (I have noticed this phenomenon before, and it indeed is a law of nature, derived from electro-weak theory.) :):) Does anyone have it that would like to sell it? If not, can anyone point me to a reference that explains the Laguerre algorithm that they use, so that I can write my own? The Laguerre algorithm finds all roots of polynomials from entered coefficients. I have what I thought was a good collection of post-calculus math books, but none have anything by this name. Lacking that (I get three strikes, don't I?) can anyone refer me to source code in Pascal, BASIC, or FORTRAN that finds the roots of polynomials? I can usually translate the other two languages into TP if I get code in them. Since I've posted this to several groups, I'd appreciate reply by email to save net bandwidth. Thanks, Bob Bob Lombardi WB4EHS >>>>>>> Internet: blombardi@x102c.ess.harris.com M/S 102-4826, Harris Corp GASD, P.O. Box 94000, Melbourne, FL 32902 Hobbies: ******** on hold thanks to being a gradual student in EE ****** aspiring classical pianist. Professional: electrical engineer, writer.
price@helios.unl.edu (Chad Price) (01/13/91)
blombardi@x102c.ess.harris.com (Bob Lombardi 44139) writes: >If not, can anyone point me to a reference that explains the Laguerre >algorithm that they use, so that I can write my own? The Laguerre >algorithm finds all roots of polynomials from entered coefficients. >I have what I thought was a good collection of post-calculus math books, >but none have anything by this name. See page 279 of Numerical Recipes in C by Press,Flannery,Teukolsky, and Vetterlingg (1988, Cambridge Univ Press) for explanation and source code. There is also a Fortran version of the book. chad price price@fergvax.unl.edu
bobo@hpcvra.cv.hp.com. (Bob O'Donnell) (01/15/91)
The book "Numerical Recipes" by Press, Flannery, Teukolsky and Vetterling includes a section on Laguerre's Method for finding roots of polynomials. The book is published in three versions, one for C, one for Fortran and one for Pascal.
kchen@Apple.COM (Kok Chen) (01/16/91)
jkenyon@css.itd.umich.edu (Jim Kenyon) writes: >Just received a copy of "Numerical Recipies" by Press, Flannery, et al >and couldn't be happier -- strongly suggest this book for anyone with >numerically intensive computing needs! Don't know if this has been mentioned yet; but Acton's book "Numerical Methods that (almost) Work" spends a large amount of paper discussing root solving methods. Highly recommended if you want to learn such techniques, instead of just using canned routines. And, if anyone wants to plow through a few inches of manuscript, Wilkinson's "The Algebraic Eigenvalue Problem" has some good hints on root solving too. Regards, Kok Chen, AA6TY kchen@apple.com Apple Computer, Inc.